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Finding the Third Proportional to 351,038 and 684,568

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Solution

The third proportional to 351,038 and 684,568 is: 1,334,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,038 : 684,568 = 684,568 : x
  2. Step 2: Convert to fraction form
    351,038/684,568 = 684,568/x
  3. Step 3: Cross multiply
    351,038x = 684,568 × 684,568
  4. Step 4: Simplify right side
    351,038x = 468,633,346,624
  5. Step 5: Solve for x
    x = 468,633,346,624/351,038
  6. Step 6: Final answer
    x = 1,334,993.21

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.